Title :
Further Characterizations on Pre-open and Alpha-open Sets in L-Spaces
Author_Institution :
Sch. of Sci., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
Some more results on L-spaces with the notions of semi-open, pre-open and alpha-open sets are presented in this paper. Such generalized open sets are characterized by using the concepts of closure and interior operator. Some properties of these generalized closed sets along with their mutual relationships are discussed. Furthermore, the main results given in the paper by M. Y. Bakier are proved to be incorrect.
Keywords :
fuzzy set theory; topology; L-fuzzy topological spaces; alpha-open sets; closure operator; interior operator; pre-open sets; semi-open sets; Fuzzy sets; Fuzzy systems; Lattices; Topology; L-topology; Pre-open sets; Semi-open sets; alpha-open sets;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.821
